The vertex form of all expressions is given below.
We have given that the expressions
We have to write the function in vertex form.
<h3>What is the vertex form of the equation?</h3>
The vertex form of a quadratic function is given by f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.
Therefore the first equation

it can be written as

The second equation can be written as

vertex for is,

The third equation is,

Vertex form is,

Forth equation is,

Vertex form is,

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Answer:
d = 1.46 m
Step-by-step explanation:
We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:
From the question given above,
F is inversely proportional to square of d. This can be written as:
F ∝ 1/d²
F = K/d²
Cross multiply
K = Fd²
But:
Force (F) = 0.006 N
Distance (d) = 4 m
Constant (K) =?
K = Fd²
K = 0.006 × 4²
K = 0.006 × 16
K = 0.096 Nm²
Therefore, the relationship between the force (F) and the distance (d) is:
F = K/d²
F = 0.096 / d²
Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:
Force (F) = 0.045 N
Constant (K) = 0.096 Nm²
Distance (d) =?
F = K/d²
0.045 = 0.096 / d²
Cross multiply
0.045 × d² = 0.096
Divide both side by 0.045
d² = 0.096 / 0.045
Take the square root of both side.
d = √(0.096 / 0.045)
d = 1.46 m.
Solve for y:
y + 1 = -3/5x + 2.4 (multiply 4 by 3/5 no negatives because negative times a negative is a positive)
y = -3/5x + 1.4
Now graph the y-intercept of 1.4.
Then plot points using slope.
Hope this helps and let me know if you have more questions!
1. you may want to find the area of the floor of a house to maybe buy tile or hardwood flooring and you need to know the area of the floor to know how much material is needed
to find the area you must multiply hight x the width
2. 4 x 6 = 24
3. 6 x 3 = 18
4. 3 x 4 = 12